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Luminous efficacy of direct solar radiation for clear skies

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  • Robledo, Luis
  • Soler, Alfonso

Abstract

In the present work we have modelled mean hourly values of the luminous efficacy of direct solar radiation for clear skies in Madrid using solar elevation as the only independent variable. Models of the polynomial type, similar to those given by different authors, and a model for the direct luminous efficacy mathematically coherent with the corresponding models of direct illuminance and irradiance, are developed. This last luminous efficacy model can be obtained from the corresponding illuminance and irradiance models in an apparently new approach to the subject, and shows a statistical performance as good as the polynomial models. We have taken the opportunity to show how arbitrary polynomial luminous efficacy models can be, and tested the dependence of coefficients in these models on local climatic conditions.

Suggested Citation

  • Robledo, Luis & Soler, Alfonso, 2000. "Luminous efficacy of direct solar radiation for clear skies," Energy, Elsevier, vol. 25(8), pages 689-701.
    • Handle: RePEc:eee:energy:v:25:y:2000:i:8:p:689-701
    DOI: 10.1016/S0360-5442(00)00017-7
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    References listed on IDEAS

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    1. Robledo, Luis & soler, Alfonso, 1998. "Modelling irradiance on inclined planes with an anisotropic model," Energy, Elsevier, vol. 23(3), pages 193-201.
    2. Robledo, L & Soler, A, 2000. "Estimation of direct illuminance on a horizontal surface for clear and intermediate skies," Renewable Energy, Elsevier, vol. 19(1), pages 55-60.
    3. Robledo, Luis & Soler, Alfonso, 1997. "Modelling daylight on inclined surfaces for applications to daylight conscious architecture," Renewable Energy, Elsevier, vol. 11(2), pages 149-152.
    4. Soler, A. & Robledo, L., 2000. "Global luminous efficacies on vertical surfaces for all sky types," Renewable Energy, Elsevier, vol. 19(1), pages 61-64.
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    1. Forero, N.L. & Caicedo, L.M. & Gordillo, G., 2007. "Correlation of global solar radiation values estimated and measured on an inclined surface for clear days in Bogotá," Renewable Energy, Elsevier, vol. 32(15), pages 2590-2602.
    2. Janjai, S. & Prathumsit, J. & Buntoung, S. & Wattan, R. & Pattarapanitchai, S. & Masiri, I., 2014. "Modeling the luminous efficacy of direct and diffuse solar radiation using information on cloud, aerosol and water vapor in the tropics," Renewable Energy, Elsevier, vol. 66(C), pages 111-117.
    3. Barbón, A. & Sánchez-Rodríguez, J.A. & Bayón, L. & Barbón, N., 2018. "Development of a fiber daylighting system based on a small scale linear Fresnel reflector: Theoretical elements," Applied Energy, Elsevier, vol. 212(C), pages 733-745.
    4. Li, Danny H.W & Lam, Joseph C, 2002. "A study of atmospheric turbidity for Hong Kong," Renewable Energy, Elsevier, vol. 25(1), pages 1-13.
    5. Robledo, L. & Soler, A., 2002. "A simple clear skies model for the luminous efficacy of diffuse solar radiation on inclined surfaces," Renewable Energy, Elsevier, vol. 26(2), pages 169-176.
    6. Antonanzas-Torres, F. & Urraca, R. & Polo, J. & Perpiñán-Lamigueiro, O. & Escobar, R., 2019. "Clear sky solar irradiance models: A review of seventy models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 107(C), pages 374-387.
    7. Bandara, Kanchana & Varpe, Øystein & Ji, Rubao & Eiane, Ketil, 2018. "A high-resolution modeling study on diel and seasonal vertical migrations of high-latitude copepods," Ecological Modelling, Elsevier, vol. 368(C), pages 357-376.
    8. Soler, A & Gopinathan, K.K & Claros, S.T, 2001. "A study on zenith luminance on Madrid overcast skies," Renewable Energy, Elsevier, vol. 23(1), pages 49-55.
    9. Li, Danny H.W., 2010. "A review of daylight illuminance determinations and energy implications," Applied Energy, Elsevier, vol. 87(7), pages 2109-2118, July.
    10. Li, Danny H.W. & Lam, Tony N.T. & Cheung, K.L. & Tang, H.L., 2008. "An analysis of luminous efficacies under the CIE standard skies," Renewable Energy, Elsevier, vol. 33(11), pages 2357-2365.
    11. Janjai, S. & Sricharoen, K. & Pattarapanitchai, S., 2011. "Semi-empirical models for the estimation of clear sky solar global and direct normal irradiances in the tropics," Applied Energy, Elsevier, vol. 88(12), pages 4749-4755.
    12. Robledo, Luis & Soler, Alfonso, 2001. "Luminous efficacy of direct solar radiation for all sky types," Energy, Elsevier, vol. 26(7), pages 669-677.
    13. Dieste-Velasco, M.I. & Díez-Mediavilla, M. & Granados-López, D. & González-Peña, D. & Alonso-Tristán, C., 2019. "Performance of global luminous efficacy models and proposal of a new model for daylighting in Burgos, Spain," Renewable Energy, Elsevier, vol. 133(C), pages 1000-1010.
    14. Soler, A & Gopinathan, K.K, 2001. "Analysis of zenith luminance data for all sky conditions," Renewable Energy, Elsevier, vol. 24(2), pages 185-196.

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